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Author : Zeph A. Landau
Publisher :
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.:/5 (34 download)
Download or read book Intermediate Subfactors written by Zeph A. Landau and published by . This book was released on 1998 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Masaki Izumi
Publisher : American Mathematical Soc.
ISBN 13 : 0821829351
Total Pages : 215 pages
Book Rating : 4.8/5 (218 download)
Download or read book Kac Algebras Arising from Composition of Subfactors: General Theory and Classification written by Masaki Izumi and published by American Mathematical Soc.. This book was released on 2002 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This title deals with a map $\alpha$ from a finite group $G$ into the automorphism group $Aut({\mathcal L})$ of a factor ${\mathcal L}$ satisfying (i) $G=N \rtimes H$ is a semi-direct product, (ii) the induced map $g \in G \to [\alpha_g] \in Out({\mathcal L})=Aut({\mathcal L})/Int({\mathcal L})$ is an injective homomorphism, and (iii) the restrictions $\alpha \! \! \mid_N, \alpha \! \! \mid_H$ are genuine actions of the subgroups on the factor ${\mathcal L}$. The pair ${\mathcal M}={\mathcal L} \rtimes_{\alpha} H \supseteq {\mathcal N}={\mathcal L} DEGREES{\alpha\mid_N}$ (of the crossed product ${\mathcal L} \rtimes_{\alpha} H$ and the fixed-point algebra ${\mathcal L} DEGREES{\alpha\mid_N}$) gives an irreducible inclusion of factors with Jones index $\# G$. The inclusion ${\mathcal M} \supseteq {\mathcal N}$ is of depth $2$ and hence known to correspond to a Kac algebra of dim
Author : Pinhas Grossman
Publisher :
ISBN 13 : 9780542824524
Total Pages : 118 pages
Book Rating : 4.8/5 (245 download)
Download or read book Intermediate Subfactors with Small Index written by Pinhas Grossman and published by . This book was released on 2006 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt: We approach the classification of intermediate subfactors by considering pairs of intermediate subfactors with index less than 4.
Author : Huzihiro Araki
Publisher : World Scientific
ISBN 13 : 981455071X
Total Pages : 306 pages
Book Rating : 4.8/5 (145 download)
Download or read book Subfactors: Proceedings Of The Taniguchi Symposium On Operator Algebras written by Huzihiro Araki and published by World Scientific. This book was released on 1994-09-30 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of subfactors of von Neumann algebras made an amazing development in the past ten years or so. In order to appraise the present state of the art in subfactor theory and to look for promising directions of future research, the workshop was organised. This workshop gives an overview of the foremost developments in subfactor theory and related topics.
Author : Narjess Afzaly
Publisher : American Mathematical Society
ISBN 13 : 1470447126
Total Pages : 94 pages
Book Rating : 4.4/5 (74 download)
Download or read book The Classification of Subfactors with Index at Most $5 frac {1}{4}$ written by Narjess Afzaly and published by American Mathematical Society. This book was released on 2023-04-07 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract.
Author : Vaughan F. R. Jones
Publisher : Cambridge University Press
ISBN 13 : 0521584205
Total Pages : 178 pages
Book Rating : 4.5/5 (215 download)
Download or read book Introduction to Subfactors written by Vaughan F. R. Jones and published by Cambridge University Press. This book was released on 1997-05-15 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: Subfactors have been a subject of considerable research activity for about 15 years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert space. A new pictorial approach to subfactors is presented in a late ch apter.
Author : Mathematical Sciences Research Institute (Berkeley, Calif.).
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (123 download)
Download or read book A Note on Intermediate Subfactors written by Mathematical Sciences Research Institute (Berkeley, Calif.). and published by . This book was released on 1992 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Huzihiro Araki
Publisher : Springer Science & Business Media
ISBN 13 : 9401728232
Total Pages : 452 pages
Book Rating : 4.4/5 (17 download)
Download or read book Quantum and Non-Commutative Analysis written by Huzihiro Araki and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past decade, there has been a sudden and vigorous development in a number of research areas in mathematics and mathematical physics, such as theory of operator algebras, knot theory, theory of manifolds, infinite dimensional Lie algebras and quantum groups (as a new topics), etc. on the side of mathematics, quantum field theory and statistical mechanics on the side of mathematical physics. The new development is characterized by very strong relations and interactions between different research areas which were hitherto considered as remotely related. Focussing on these new developments in mathematical physics and theory of operator algebras, the International Oji Seminar on Quantum Analysis was held at the Kansai Seminar House, Kyoto, JAPAN during June 25-29, 1992 by a generous sponsorship of the Japan Society for the Promotion of Science and the Fujihara Foundation of Science, as a workshop of relatively small number of (about 50) invited participants. This was followed by an open Symposium at RIMS, described below by its organizer, A. Kishimoto. The Oji Seminar began with two key-note addresses, one by V.F.R. Jones on Spin Models in Knot Theory and von Neumann Algebras and by A. Jaffe on Where Quantum Field Theory Has Led. Subsequently topics such as Subfactors and Sector Theory, Solvable Models of Statistical Mechanics, Quantum Field Theory, Quantum Groups, and Renormalization Group Ap proach, are discussed. Towards the end, a panel discussion on Where Should Quantum Analysis Go? was held.
Author : Liming Ge
Publisher : American Mathematical Soc.
ISBN 13 : 0821810936
Total Pages : 416 pages
Book Rating : 4.8/5 (218 download)
Download or read book Operator Algebras and Operator Theory written by Liming Ge and published by American Mathematical Soc.. This book was released on 1998 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings from the International Conference on Operator Algebras and Operator Theory held at the East China Normal University in Shanghai (China). Participants in the conference ranged from graduate students to postdocs to leading experts who came from around the world. Topics covered were $C*$-algebras, von Neumann algebras, non-self-adjoint operator algebras, wavelets, operator spaces and other related areas. This work consists of contributions from invited speakers and some mathematicians who were unable to attend. It presents important mathematical ideas while maintaining the uniqueness and excitement of this very successful event.
Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1001 pages
Book Rating : 4./5 ( download)
Download or read book written by and published by World Scientific. This book was released on with total page 1001 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tamotsu Teruya
Publisher :
ISBN 13 :
Total Pages : 44 pages
Book Rating : 4.:/5 (258 download)
Download or read book Normal Intermediate Subfactors written by Tamotsu Teruya and published by . This book was released on 1995 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter A. Fillmore
Publisher : American Mathematical Soc.
ISBN 13 : 9780821871218
Total Pages : 338 pages
Book Rating : 4.8/5 (712 download)
Download or read book Operator Algebras and Their Applications written by Peter A. Fillmore and published by American Mathematical Soc.. This book was released on with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of operator algebras, which grew out of von Neumann's work in the 1920s and the 1930s on modelling quantum mechanics, has in recent years experienced tremendous growth and vitality. This growth has resulted in significant applications in other areas - both within and outside mathematics. The field was a natural candidate for a 1994-1995 program year in Operator Algebras and Applications held at The Fields Institute for Research in the Mathematical Sciences. This volume contains a selection of papers that arose from the seminars and workshops of the program. Topics covered include the classification of amenable C*-algebras, the Baum-Connes conjecture, E[subscript 0] semigroups, subfactors, E-theory, quasicrystals, and the solution to a long-standing problem in operator theory: Can almost commuting self-adjoint matrices be approximated by commuting self-adjoint matrices?
Author : Vladimir Igorevich Arnolʹd
Publisher : American Mathematical Soc.
ISBN 13 : 9780821826973
Total Pages : 476 pages
Book Rating : 4.8/5 (269 download)
Download or read book Mathematics: Frontiers and Perspectives written by Vladimir Igorevich Arnolʹd and published by American Mathematical Soc.. This book was released on 2000 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: A celebration of the state of mathematics at the end of the millennium. Produced under the auspices of the International Mathematical Union (IMU), the book was born as part of the activities of World Mathematical Year 2000. It consists of 28 articles written by influential mathematicians.
Author : Ola Bratteli
Publisher : Springer Science & Business Media
ISBN 13 : 3540341978
Total Pages : 280 pages
Book Rating : 4.5/5 (43 download)
Download or read book Operator Algebras written by Ola Bratteli and published by Springer Science & Business Media. This book was released on 2007-01-19 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theme of the first Abel Symposium was operator algebras in a wide sense. In the last 40 years operator algebras have developed from a rather special discipline within functional analysis to become a central field in mathematics often described as "non-commutative geometry". It has branched out in several sub-disciplines and made contact with other subjects. The contributions to this volume give a state-of-the-art account of some of these sub-disciplines and the variety of topics reflect to some extent how the subject has developed. This is the first volume in a prestigious new book series linked to the Abel prize.
Author : Marcel Bischoff
Publisher : Springer
ISBN 13 : 3319143018
Total Pages : 103 pages
Book Rating : 4.3/5 (191 download)
Download or read book Tensor Categories and Endomorphisms of von Neumann Algebras written by Marcel Bischoff and published by Springer. This book was released on 2015-01-13 with total page 103 pages. Available in PDF, EPUB and Kindle. Book excerpt: C* tensor categories are a point of contact where Operator Algebras and Quantum Field Theory meet. They are the underlying unifying concept for homomorphisms of (properly infinite) von Neumann algebras and representations of quantum observables. The present introductory text reviews the basic notions and their cross-relations in different contexts. The focus is on Q-systems that serve as complete invariants, both for subfactors and for extensions of quantum field theory models. It proceeds with various operations on Q-systems (several decompositions, the mirror Q-system, braided product, centre and full centre of Q-systems) some of which are defined only in the presence of a braiding. The last chapter gives a brief exposition of the relevance of the mathematical structures presented in the main body for applications in Quantum Field Theory (in particular two-dimensional Conformal Field Theory, also with boundaries or defects).
Author : Sebastiano Carpi
Publisher : American Mathematical Soc.
ISBN 13 : 147042858X
Total Pages : 85 pages
Book Rating : 4.4/5 (74 download)
Download or read book From Vertex Operator Algebras to Conformal Nets and Back written by Sebastiano Carpi and published by American Mathematical Soc.. This book was released on 2018-08-09 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authors consider unitary simple vertex operator algebras whose vertex operators satisfy certain energy bounds and a strong form of locality and call them strongly local. They present a general procedure which associates to every strongly local vertex operator algebra V a conformal net AV acting on the Hilbert space completion of V and prove that the isomorphism class of AV does not depend on the choice of the scalar product on V. They show that the class of strongly local vertex operator algebras is closed under taking tensor products and unitary subalgebras and that, for every strongly local vertex operator algebra V, the map W↦AW gives a one-to-one correspondence between the unitary subalgebras W of V and the covariant subnets of AV.
Author : Robert Coquereaux
Publisher : American Mathematical Soc.
ISBN 13 : 0821826557
Total Pages : 296 pages
Book Rating : 4.8/5 (218 download)
Download or read book Quantum Symmetries in Theoretical Physics and Mathematics written by Robert Coquereaux and published by American Mathematical Soc.. This book was released on 2002 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents articles from several lectures presented at the school on ``Quantum Symmetries in Theoretical Physics and Mathematics'' held in Bariloche, Argentina. The various lecturers provided significantly different points of view on several aspects of Hopf algebras, quantum group theory, and noncommutative differential geometry, ranging from analysis, geometry, and algebra to physical models, especially in connection with integrable systems and conformal field theories.Primary topics discussed in the text include subgroups of quantum $SU(N)$, quantum ADE classifications and generalized Coxeter systems, modular invariance, defects and boundaries in conformal field theory, finite dimensional Hopf algebras, Lie bialgebras and Belavin-Drinfeld triples, real forms ofquantum spaces, perturbative and non-perturbative Yang-Baxter operators, braided subfactors in operator algebras and conformal field theory, and generalized ($d$) cohomologies.
